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Finding the Fourth Proportional to 21,367.50, 32,047.29 and 5,783.10

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Solution

The fourth proportional to 21,367.50, 32,047.29 and 5,783.10 is: 8,673.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,367.50 : 32,047.29 = 5,783.10 : x
  2. Step 2: Convert to fraction form
    21,367.50/32,047.29 = 5,783.10/x
  3. Step 3: Cross multiply
    21,367.50x = 32,047.29 × 5,783.10
  4. Step 4: Simplify right side
    21,367.50x = 185,332,682.80
  5. Step 5: Solve for x
    x = 185,332,682.80/21,367.50
  6. Step 6: Final answer
    x = 8,673.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.